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Finding the Fourth Proportional to 132,581.92, 182,921.80 and 75,211.76

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Solution

The fourth proportional to 132,581.92, 182,921.80 and 75,211.76 is: 103,768.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,581.92 : 182,921.80 = 75,211.76 : x
  2. Step 2: Convert to fraction form
    132,581.92/182,921.80 = 75,211.76/x
  3. Step 3: Cross multiply
    132,581.92x = 182,921.80 × 75,211.76
  4. Step 4: Simplify right side
    132,581.92x = 13,757,870,520.37
  5. Step 5: Solve for x
    x = 13,757,870,520.37/132,581.92
  6. Step 6: Final answer
    x = 103,768.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.